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Finding the Third Proportional to 59,245 and 128,074

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Solution

The third proportional to 59,245 and 128,074 is: 276,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,245 : 128,074 = 128,074 : x
  2. Step 2: Convert to fraction form
    59,245/128,074 = 128,074/x
  3. Step 3: Cross multiply
    59,245x = 128,074 × 128,074
  4. Step 4: Simplify right side
    59,245x = 16,402,949,476
  5. Step 5: Solve for x
    x = 16,402,949,476/59,245
  6. Step 6: Final answer
    x = 276,866.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.